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Finding the Fourth Proportional to 205,592.46, 308,385.45 and 65,349.06

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Solution

The fourth proportional to 205,592.46, 308,385.45 and 65,349.06 is: 98,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,592.46 : 308,385.45 = 65,349.06 : x
  2. Step 2: Convert to fraction form
    205,592.46/308,385.45 = 65,349.06/x
  3. Step 3: Cross multiply
    205,592.46x = 308,385.45 × 65,349.06
  4. Step 4: Simplify right side
    205,592.46x = 20,152,699,275.18
  5. Step 5: Solve for x
    x = 20,152,699,275.18/205,592.46
  6. Step 6: Final answer
    x = 98,022.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.